Acme Container Corporation produces egg cartons that are sold to egg distributors. Acme has estimated this production function for its egg carton division: Q = 25L^0.6 K^0.4

where Q = output measured in one thousand carton lots,

L = labor measured in person hours, and
K = capital measured in machine hours.

Acme currently pays a wage of $10 per hour and considers the relevant rental price for capital to be $25 per hour. Determine the optimal capital-labor ratio that Acme should use in the egg carton division.

Kumar consulting operates several stock investment portfolios that are used by firms for investment of pension plan assets. last year, one portfolio had a realized return of 12.6 percent and a beta coefficient of 1.15. the average t-bond rate was 7 percent and the realized rate of return on the s& p 500 was 12 percent. what was the portfolio's alpha?

With signals from no-claim bonuses and deductibles, a. the marginal cost curve for careful drivers lies to the left of the marginal cost curve for aggressive drivers b. auto insurance companies insure more aggressive drivers than careful drivers because aggressive drivers have a greater need for the insurance c. the market for car insurance has a separating equilibrium, and the market is efficient d. most drivers pay higher premiums than if the market had no signals

Haley photocopying purchases a paper from an out-of-state vendor. average weekly demand for paper is 150 cartons per week for which haley pays $15 per carton. in bound shipments from the vendor average 1000 cartoons with an average lead time of 3 weeks. haley operates 52 weeks per year; it carries a 4-week supply of inventory as safety stock and no anticipation inventory. the vendor has recently announced that they will be building a faculty near haley photocopying that will reduce lead time to one week. further, they will be able to reduce shipments to 200 cartons. haley believes that they will be able to reduce safety stock to a 1-week supply. what impact will these changes make to haley’s average inventory level and its average aggregated inventory value?